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X^2-3.5X-14.3=3.31
We move all terms to the left:
X^2-3.5X-14.3-(3.31)=0
We add all the numbers together, and all the variables
X^2-3.5X-17.61=0
a = 1; b = -3.5; c = -17.61;
Δ = b2-4ac
Δ = -3.52-4·1·(-17.61)
Δ = 82.69
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3.5)-\sqrt{82.69}}{2*1}=\frac{3.5-\sqrt{82.69}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.5)+\sqrt{82.69}}{2*1}=\frac{3.5+\sqrt{82.69}}{2} $
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